1000121720000 has 420 divisors, whose sum is σ = 2702644202016. Its totient is φ = 366912000000.

The previous prime is 1000121719979. The next prime is 1000121720023. The reversal of 1000121720000 is 271210001.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1331719625 + ... + 1331720375.

Almost surely, 2^{1000121720000} is an apocalyptic number.

1000121720000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000121720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351322101008).

1000121720000 is an abundant number, since it is smaller than the sum of its proper divisors (1702522482016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000121720000 is an equidigital number, since it uses as much as digits as its factorization.

1000121720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 1000121720000 its reverse (271210001), we get a palindrome (1000392930001).

The spelling of 1000121720000 in words is "one trillion, one hundred twenty-one million, seven hundred twenty thousand".